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What is the Least Common Multiple of 55347 and 55357?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 55347 and 55357 is 3063843879.

LCM(55347,55357) = 3063843879

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Least Common Multiple of 55347 and 55357 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 55347 and 55357, than apply into the LCM equation.

GCF(55347,55357) = 1
LCM(55347,55357) = ( 55347 × 55357) / 1
LCM(55347,55357) = 3063843879 / 1
LCM(55347,55357) = 3063843879

Least Common Multiple (LCM) of 55347 and 55357 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 55347 and 55357. First we will calculate the prime factors of 55347 and 55357.

Prime Factorization of 55347

Prime factors of 55347 are 3, 19, 971. Prime factorization of 55347 in exponential form is:

55347 = 31 × 191 × 9711

Prime Factorization of 55357

Prime factors of 55357 are 197, 281. Prime factorization of 55357 in exponential form is:

55357 = 1971 × 2811

Now multiplying the highest exponent prime factors to calculate the LCM of 55347 and 55357.

LCM(55347,55357) = 31 × 191 × 9711 × 1971 × 2811
LCM(55347,55357) = 3063843879